Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory

Yang Zhang, L.W. Zhang, K.M. Liew and J.L. Yu

Applied Mathematics and Computation, 2015, vol. 258, issue C, 489-501

Abstract: In this paper, an investigation on the transient analysis of single-layered graphene sheets (SLGSs) is performed using the element-free kp-Ritz method. The classical plate theory is used to describe the dynamic behavior of SLGSs. Nonlocal elasticity theory, in which nonlocal parameter is introduced, is incorporated to reflect the small effect. Newmark’s method is employed to solve the discretized dynamic equations. Several numerical examples are presented to examine the effect of boundary conditions, aspect ratio, side length load distribution type and load variation type on the transient behavior of SLGSs. The present work can serve as the foundation for further investigation of the transient response of multi-layered graphene sheets.

Keywords: Single-layered graphene sheets; Transient analysis; kp-Ritz method (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:489-501

DOI: 10.1016/j.amc.2015.02.023

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